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svp [43]
2 years ago
15

Solve for x. 2x² +21x-61 = (x+7)² Please

Mathematics
2 answers:
Ymorist [56]2 years ago
7 0

Answer:

x = \frac{-7 +\sqrt{489} }{2}

x = \frac{-7 - \sqrt{489} }{2}

Step-by-step explanation:

2x² +21x-61 = (x+7)²

expand

2x² + 21x - 61 = x² + 14x +49

move everything to one side

x² + 7x - 12 = 0

use quadratic formula

x = \frac{-b +- \sqrt{b^{2}-4ac } }{2a}

plug in the values

x = \frac{-7 +- \sqrt{7^{2}-4(1)(-110) } }{2(1)}

solve

x = \frac{-7 +- \sqrt{49-4(1)(-110) } }{2}

x = \frac{-7 +- \sqrt{49 + 440 } }{2}

x = \frac{-7 +- \sqrt{489} }{2}

noname [10]2 years ago
5 0
After you rewrite the equation, identify the coefficients , substitute the coefficients and simplify the expression you’ll be left with 489
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Solve using ELIMINATION (with step by step explanation) Please<br><br> 3x+y=-9<br> y=5x+7
Yuki888 [10]

Answer:

<h2>x = -2 (verified by algebra) ✅</h2>

Step-by-step explanation:

Since we are given the value of y, we can replace it with 5x + 7.

We now have: 3x + 5x + 7 = -9

We can now simplify by adding 3x and 5x to get 8x.

8x + 7 = -9

We can subtract 7

8x = -16

And now, we divide by 8

x = -2

We can check to make sure we are correct

3(-2) + 5 (-2) + 7 = -9

-6 + -10 + 7 = -9

-9 = -9 ✅

7 0
3 years ago
I need help please I will mark you brainlists
V125BC [204]

Answer:

2. ΔABC is isosceles

Step-by-step explanation:

Given : m∠A = 50

m∠BCD = 180 - (m∠BDC + m∠DBC)

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              = 50

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3 years ago
Solve -2(2x+5) -3(x-1)
OLEGan [10]
<h2>Hello!</h2>

The answer is:

-2(2x+5)-3(x-1)=-7x-7\\

<h2>Why?</h2>

To solve the problem, we need to perform the operations and then, add like terms.

We need to apply the distributive property, which is defined by the following way:

a(b+c)=ab+ac

Also, we need to remember how to add like terms. Like terms are terms that share the same exponent and the same variable, for example:

3x+5x+x^{2}=8x+x^{2}

We were able to add only the first two terms since they are like terms, both are sharing the same exponent and the same variable.

So, we are given the expression:

-2(2x+5)-3(x-1)

Then, solving we have:

-2(2x+5)-3(x-1)=-4x-10-(3x-3)\\\\-4x-10-(3x-3)=-4x-10-3x+3\\\\-4x-10-3x+3=-4x-3x-10+3\\\\-4x-3x-10+3=-7x-7

Hence, we have that the answer is:

-2(2x+5)-3(x-1)=-7x-7\\

Have a nice day!

8 0
3 years ago
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